Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 948231: Is (-2, 3) a solution of the system? Make sure to state yes or no and show your work to justify your answer.

y = 2x + 7
x = y - 4
Click here to see answer by amarjeeth123(569)

Question 948238: Solve the system using substitution. Make sure to show your work for full credit.

y = 5x
y - x = 8
Click here to see answer by amarjeeth123(569)

Question 948240: Solve the system using elimination. Make sure to show all your work for full credit.

5x + 4y = 1
3x - 4y = 7
Click here to see answer by amarjeeth123(569)

Question 948239: Solve the system using substitution. Make sure to show your work for full credit.

2x = 3y
x + 2y = 7
Click here to see answer by rothauserc(4718)

Question 948239: Solve the system using substitution. Make sure to show your work for full credit.

2x = 3y
x + 2y = 7
Click here to see answer by Alan3354(69443)

Question 948239: Solve the system using substitution. Make sure to show your work for full credit.

2x = 3y
x + 2y = 7
Click here to see answer by amarjeeth123(569)

Question 948236: Without graphing, tell whether the system has one solution, no solution, or an infinite number of solutions.

Make sure to explain how you know your answer is correct in order to receive full credit.

2 + y = 2x
y- 2x = 5
Click here to see answer by amarjeeth123(569)

Question 948400: How would I find the x and y-intercept and vertex of: H(x)=3x-1/2x^2
Thank you
Click here to see answer by macston(5194)

Question 948482: Solve the system using elimination. Make sure to show your work for full credit.

x + 2y = 5
3x + y = 10
Click here to see answer by stanbon(75887)

Question 948487: Determine whether the given point is a solution of the linear inequality. Make sure to state yes or no and show your work to justify your answer.

(2, 4)

y <= 3x - 1
Click here to see answer by stanbon(75887)

Question 948485: Determine whether the given point is a solution of the inequality. Make sure to state yes or no and show your work to justify your answer.

(1, 0)

y < 7/8x - 3
Click here to see answer by Fombitz(32388)

Question 948483: At the fair, you buy 3 sausage sandwiches and a milkshake and it costs you $8.25. Your friend buys 1 sausage sandwich and 2 milkshakes and her total is $5.25. What is the cost of one sandwich and one milkshake?

A. Write a system of equations for this situation.

B. Solve your system using either elimination or substitution. Make sure to show your work for full credit.
Click here to see answer by Fombitz(32388)

Question 948496: When graphing a system of linear inequalities how do you determine what the solution of the system is?
Click here to see answer by MathLover1(20849)

Question 948494: School sweatshirts cost $8 or $12 depending on the size (youth or adult). The total amount of money brought in at a Friday morning spirit sale was at most $216.00.

Write a linear inequality to describe this situation.
Click here to see answer by macston(5194)

Question 948495: PhotoLab charges $9.00 for processing a 24-exposure roll of film and $12.00 for processing a 36-exposure roll. After their class trip, Mr. Renkens' 8th grade class sent 22 rolls of film to be developed and paid $219 for processing.

A. Write a system of equations to describe the situation.

B. Find the number of rolls of 24-exposure and the number of 36-exposure film that were processed using either elimination or substitution. Make sure to show your work for full credit.
Click here to see answer by macston(5194)

Question 948557: The distance from the Sun can be approximated by the equation D=2.5cos[0.0172(n-185)+150, where D represents the distance in millions of kilometers and n represents the number of days into a year.
a) How far will Earth be from the Sun on March 21st, the 80th day of the year?
This is what I did, but I don't think it's right.
D=2.5cos[0.0172(80-185)]+150
=2.5cos(-1.806)+150
=149.417....
then I have no clue how to find
b) The range of distance the Earth can be from the sun.
c) The period of the cycle, and what it means in context to the question.
Click here to see answer by Theo(13342)

Question 948717: What is the y and x intercept of x+3y-3=0
Click here to see answer by amarjeeth123(569)

Question 948717: What is the y and x intercept of x+3y-3=0
Click here to see answer by macston(5194)

Question 948839: Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.

y < 4x - 4
Click here to see answer by Fombitz(32388)

Question 948833:
Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.

1/3x - y >= 1
Click here to see answer by MathLover1(20849)

Question 948955: y=4X+12
-4X+3y=21
Click here to see answer by Fombitz(32388)

Question 948996: Can you help me solve this equation -x+y=-13 3x-y=19

Click here to see answer by stanbon(75887)

Question 949007: at a fair,hamburgers sell for $3.00 each and hot dogs sell for $1.50 each.the
equation 3x + 1.5y=30 describes the number of hamburgers and hot dogs a family can buy with $30.
find the intercepts and graph the function?
what does each intercept represents?
Click here to see answer by macston(5194)

Question 949082: I am solving systems of equations by graphing. The entire problem is:
y = -2/3x + 2
y = -2x - 2
Click here to see answer by stanbon(75887)

Question 949115: find an equation of the line L, where L is perpendicular to y=2x and passes through the point (1,2)
Click here to see answer by josgarithmetic(39617)

Question 949049: Given : V-8,6), W (2,2) , X(7,0) , Y(4,-4), and Z (-2,-12)
Prove : DVXZ = DWXY . Complete the explanation. DVXZ = DWXY .
Give answers for [1] and [2].
here is a link to a picture of it help please copy n paste please.
: http://prntscr.com/67dfze
THANKS So much show work please.
Click here to see answer by Fombitz(32388)

Question 949427: Describe the vertical asymptote of g(x)= -3ln(x-2).

By looking at the function, I know the vertical asymptote is x=2.
How can I describe it though? Thanks.
Click here to see answer by Theo(13342)

Question 949629: Hello! I need to find the range of a quadratic equation, which is 2x^2+ -2x + 3 = 0
Could you please help me??
Click here to see answer by josgarithmetic(39617)

Question 949629: Hello! I need to find the range of a quadratic equation, which is 2x^2+ -2x + 3 = 0
Could you please help me??
Click here to see answer by MathTherapy(10551)

Question 949638: 1.Sketch the curves of the following functions
(a) f(t)= 4t^2- 12t (b) f(x)= 4-2x-x^2 (c) f(r)=r^2-pie
2. Determine the exact least value of the expression 3x^2- 5x+2 for all real values of x/ State the exact value of x for which this least value occures. State also the range of the function f(x)= 3x^2-5x+2.
3. The graph of a quadratic function has equation of the form y=a(x-p)^2+q. Its turning point is located at (1,4). the graph also contains point (1,3).
(i) Determine the values of a, p, q.
(ii) Find the equation of the graph in the form y=ax^2+ bx+c
Please explain and teach me how i can solve these questions, it's very depressing to be the only one in the whole class who doesn't understand the whole chapter.
Click here to see answer by rothauserc(4718)

Question 949701: How to find the y int of a quadratic graph that does not pass the y-int line?
Click here to see answer by stanbon(75887)

Question 949704: How to find the y int of a quadratic graph that does not pass the y-int line? but my teachers key shows an answer

-2x square -12x -14
y-int=-14
Click here to see answer by macston(5194)

Question 949770: y=1/2x+2
Click here to see answer by Alan3354(69443)

Question 949854: Graph each function as a transformation of its parent function:
what do the directions mean? can you please explain what it means and how to solve it?
Click here to see answer by stanbon(75887)

Question 949874: (A) write an equation for the line f that passes through (5,3) and has a slope of -8/9
(B) what is the slope of a line perpendicular to line f?

Click here to see answer by amarjeeth123(569)

Question 949873: How do I find the point where the graph intersects with the x-axis for the problem: f(x) = √(t+4) - 1
Thank you
Click here to see answer by amarjeeth123(569)

Question 949898: f(x) = 3/(x-2) how do i figure out the graph of this equation?
please give steps
Thank you
Click here to see answer by josgarithmetic(39617)

Question 949900: How do I find the points which intersects with the x-axis for the function: f(x)=-2|x+3|+7
Thank you
Click here to see answer by macston(5194)

Question 949900: How do I find the points which intersects with the x-axis for the function: f(x)=-2|x+3|+7
Thank you
Click here to see answer by MathTherapy(10551)

Question 949800: how do I graph the linear equation y=-6x? What are the steps involved?
Click here to see answer by Fombitz(32388)

Question 950083: y
Click here to see answer by Fombitz(32388)

Question 950098: Please explain how to get the y-intercept(s) 1/2(x-1)^3 + 4 = 0
Thank you
Click here to see answer by josmiceli(19441)

Question 950146: For the problem: R(x)= -x^5+5x^3-4x
I got the y-int to be (0,0) by setting x=0
And then I got the x-int to be(0,0),(2,0),(-2,0),(1,0),(-1,0) by setting the entire problem to 0.
like -x(x^4-5x^2+4)
(x^2-4)(x^2-1)=0
But I checked my graphing calculator and it states that only 1,0 is present and (-0.8,0). Why isn't -1,-2,2 present and where does -0.8 come from?

THANKS!

Click here to see answer by josgarithmetic(39617)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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